Educação matemática pela arte
Gusmão, Lucimar Donizete
2013-08-28
Search results
12 records were found.
Comment: 10 pages, 7 figures; v2: figures updated and v2{PP} results added
Comment: 4 pages, 5 figures. Talk given at Hard Probes 2010, Eilat, Israel,
10-15 October, 2010
Comment: 4 pages, 3 figures. Talk given at Quark Matter 2011, 22-28 May 2011,
Annecy, France
[Introduction] In Denicol
et al.
[Phys. Rev. D
85
, 114047 (2012)], the equations of motion of relativistic dissipative
fluid dynamics were derived from the relativistic Boltzmann equation. These equations contain a multitude
of terms of second order in the Knudsen number, in the inverse Reynolds number, or their product. Terms of
second order in the Knudsen number give rise to nonhyperbolic (and thus acausal) behavior and must be
neglected in (numerical) solutions of relativistic dissipative fluid dynamics. The coefficients of the terms
which are of the order of the product of Knudsen and inverse Reynolds numbers have been explicitly
computed in the above reference, in the limit of a massless Boltzmann gas. Terms of second order in the
inverse Reynolds number arise from the collision term in the Boltzmann equation, upon expansion to
s...
Comment: 4 pages, 3 figures, version accepted for publication in Physical
Review Letters, clarified the temperature regions and phases where elliptic
flow is most sensitive to viscosity
Comment: 6 pages, 11 figures, parallel talk in Strangeness in Quark Matter
conference, Cracow, Sept 2011
We investigate in a microscopical transport model the evolution of conical
structures originating from the supersonic projectile moving through the matter
of ultrarelativistic particles. Using different scenarios for the interaction
between projectile and matter, and different transport properties of the
matter, we study the formation and structure of Mach cones. Furthermore, the
two-particle correlations for different viscosities are extracted from the
numerical calculations and we compare them to an analytical approximation. In
addition, by adjusting he cross section we investigate the influence of the
viscosity to the structure of Mach cones.
We derive the equations of second order dissipative fluid dynamics from the relativistic Boltzmann equation following the method of W. Israel and J. M. Stewart [1]. We present a frame independent calculation of all first- and second-order terms and their coefficients using a linearised collision integral. Therefore, we restore all terms that were previously neglected in the original papers of W. Israel and J. M. Stewart.


